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Finding the Fourth Proportional to 382,854.96, 528,357.24 and 213,099.84

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Solution

The fourth proportional to 382,854.96, 528,357.24 and 213,099.84 is: 294,087.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,854.96 : 528,357.24 = 213,099.84 : x
  2. Step 2: Convert to fraction form
    382,854.96/528,357.24 = 213,099.84/x
  3. Step 3: Cross multiply
    382,854.96x = 528,357.24 × 213,099.84
  4. Step 4: Simplify right side
    382,854.96x = 112,592,843,306.84
  5. Step 5: Solve for x
    x = 112,592,843,306.84/382,854.96
  6. Step 6: Final answer
    x = 294,087.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.